Deus Ex Human Revolution - Balls Trophy / Achievement Guide

The shown method requires you to buy the 'Throw Heavy Objects' Augmentation. How does it affect the process? Well, what you will basically need to do is to throw the ball through the basket from the bottom. It will be stabilized and come down to the exact same point (this time from the top, which is required to unlock the trophy or achievement). This makes it very easy and you need no real skill. Just make sure that you aim in a 90° angle (maximum). Once you can barely see the outer part of the red basket ring you are ready to shoot.
You can always reach the shown area when you are in Detroit. If you can't buy the augmentation you can try to shoot the ball from a higher distance and a smaller angle.